Finding the Fourth Proportional to 1,196.36, 1,793.77 and 465.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.36 : 1,793.77 = 465.34 : x
2. Step 2: Convert to fraction form
   1,196.36/1,793.77 = 465.34/x
3. Step 3: Cross multiply
   1,196.36x = 1,793.77 × 465.34
4. Step 4: Simplify right side
   1,196.36x = 834,712.93
5. Step 5: Solve for x
   x = 834,712.93/1,196.36
6. Step 6: Final answer
   x = 697.71